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Finding the Third Proportional to 228,548 and 468,232

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Solution

The third proportional to 228,548 and 468,232 is: 959,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,548 : 468,232 = 468,232 : x
  2. Step 2: Convert to fraction form
    228,548/468,232 = 468,232/x
  3. Step 3: Cross multiply
    228,548x = 468,232 × 468,232
  4. Step 4: Simplify right side
    228,548x = 219,241,205,824
  5. Step 5: Solve for x
    x = 219,241,205,824/228,548
  6. Step 6: Final answer
    x = 959,278.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.